Search a number
-
+
221200022120100 = 22352737333407067
BaseRepresentation
bin110010010010111000100100…
…101111100010011010100100
31002000012111220212102111021120
4302102320210233202122210
5212443120121130320400
62102241515354213540
764410113520141522
oct6222704457423244
91060174825374246
10221200022120100
11645324478a5651
1220986067a242b0
1396570c3603a1a
143c8a1d12c7312
151a88dc0a2eca0
hexc92e24be26a4

221200022120100 has 36 divisors (see below), whose sum is σ = 640005397335024. Its totient is φ = 58986672565280.

The previous prime is 221200022120059. The next prime is 221200022120107. The reversal of 221200022120100 is 1021220002122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221200022120100.

It is not an unprimeable number, because it can be changed into a prime (221200022120107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368666703234 + ... + 368666703833.

Almost surely, 2221200022120100 is an apocalyptic number.

221200022120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200022120100 is an abundant number, since it is smaller than the sum of its proper divisors (418805375214924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221200022120100 is a wasteful number, since it uses less digits than its factorization.

221200022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737333407084 (or 737333407077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221200022120100 its reverse (1021220002122), we get a palindrome (222221242122222).

The spelling of 221200022120100 in words is "two hundred twenty-one trillion, two hundred billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 737333407067 1474666814134 2212000221201 2949333628268 3686667035335 4424000442402 7373334070670 8848000884804 11060001106005 14746668141340 18433335176675 22120002212010 36866670353350 44240004424020 55300005530025 73733340706700 110600011060050 221200022120100